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Finding the Third Proportional to 611,185.25 and 1,327,549.75

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Solution

The third proportional to 611,185.25 and 1,327,549.75 is: 2,883,558.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,185.25 : 1,327,549.75 = 1,327,549.75 : x
  2. Step 2: Convert to fraction form
    611,185.25/1,327,549.75 = 1,327,549.75/x
  3. Step 3: Cross multiply
    611,185.25x = 1,327,549.75 × 1,327,549.75
  4. Step 4: Simplify right side
    611,185.25x = 1,762,388,338,725.06
  5. Step 5: Solve for x
    x = 1,762,388,338,725.06/611,185.25
  6. Step 6: Final answer
    x = 2,883,558.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.